The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=61, find the probability of a sample mean being less than 25.1 if μ=25 and σ=1.21.
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=61, find the probability of a sample mean being less than 25.1 if μ=25 and σ=1.21.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of
n=61,
find the probability of a sample mean being less than
25.1
if
μ=25
and
σ=1.21.
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For a sample of
n=61,
the probability of a sample mean being less than
25.1
if
μ=25
and
σ=1.21
is
nothing.
(Round to four decimal places as needed.)
Would the given sample mean be considered unusual?
The sample mean
be considered unusual because it has a probability that is
than 5%.
▼
would not
would
▼
less
greater
Expert Solution
Step 1
Given data,
μ=25
σ=1.21
n=61
P(X<25.1)=?
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